Abstract

We report on the design of silicon three-dimensional (3D) photonic crystal (PC) waveguides with a combination of acceptor-type and donor-type line defects. Tuning the width of the acceptor-type line defect allows the waveguide to support two guided modes, which enable single-mode propagation over 98.7% of the complete photonic bandgap (cPBG). In addition, we demonstrate that the frequency ranges for single-mode propagation can be extended to the entire range of the cPBG by further tuning the thickness of the layers in which the donor-type line defects are located. The wide ranges of available frequencies for single mode propagation enable flexible design of 3D PC components and will provide a route towards future 3D photonic circuits.

© 2013 OSA

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2013 (1)

K. Ishizaki, M. Koumura, K. Suzuki, K. Gondaira, and S. Noda, “Realization of three-dimensional guiding of photons in photonic crystals,” Nat. Photon.7, 133–137 (2013) and their supplementary information.

2012 (3)

H. C. Nguyen, S. Hashimoto, M. Shinkawa, and T. Baba, “Compact and fast photonic crystal silicon optical modulators,” Opt. Express20(20), 22465–22474 (2012).
[CrossRef] [PubMed]

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

D. Cao, A. Tandaechanurat, S. Nakayama, S. Ishida, S. Iwamoto, and Y. Arakawa, “Silicon-based three-dimensional photonic crystal nanocavity laser with InAs quantum-dot gain,” Appl. Phys. Lett.101(19), 191107 (2012).
[CrossRef]

2011 (3)

2010 (1)

2009 (3)

2008 (2)

R. J. Liu, Z. Y. Li, Z. F. Feng, B. Y. Cheng, and D. Z. Zhang, “Channel-drop filters in three-dimensional woodpile photonic crystals,” J. Appl. Phys.103(9), 094514 (2008).
[CrossRef]

S. A. Rinne, F. García-Santamaría, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics2(1), 52–56 (2008).
[CrossRef]

2007 (1)

2006 (3)

2005 (2)

S. Kawashima, L. H. Lee, M. Okano, M. Imada, and S. Noda, “Design of donor-type line-defect waveguides in three-dimensional photonic crystals,” Opt. Express13(24), 9774–9781 (2005).
[CrossRef] [PubMed]

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, “Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity,” Phys. Rev. Lett.94(3), 033903 (2005).
[CrossRef] [PubMed]

2004 (2)

C. Sell, C. Christensen, J. Muehlmeier, G. Tuttle, Z. Y. Li, and K. M. Ho, “Waveguide networks in three-dimensional layer-by-layer photonic crystals,” Appl. Phys. Lett.84(23), 4605–4607 (2004).
[CrossRef]

D. Roundy, E. Lidorikis, and J. D. Joannopoulos, “Polarization-selective waveguide bends in a photonic crystal structure with layered square symmetry,” J. Appl. Phys.96(12), 7750–7752 (2004).
[CrossRef]

2003 (7)

Y. Akahane, T. Asano, B. S. Song, and S. Noda, “High-Q photonic nanocavity in a two-dimensional photonic crystal,” Nature425(6961), 944–947 (2003).
[CrossRef] [PubMed]

E. Lidorikis, M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Polarization-Independent Linear Waveguides in 3D Photonic Crystals,” Phys. Rev. Lett.91(2), 023902 (2003).
[CrossRef] [PubMed]

M. Okano, S. Kako, and S. Noda, “Coupling between a point-defect cavity and a line-defect waveguide in three-dimensional photonic crystal,” Phys. Rev. B68(23), 235110 (2003).
[CrossRef]

A. Chutinan, S. John, and O. Toader, “Diffractionless flow of light in all-optical Microchips,” Phys. Rev. Lett.90(12), 123901 (2003).
[CrossRef] [PubMed]

Y. Tanaka, T. Asano, Y. Akahane, B. S. Song, and S. Noda, “Theoretical investigation of a two-dimensional photonic crystal slab with truncated cone air holes,” Appl. Phys. Lett.82(11), 1661–1663 (2003).
[CrossRef]

S. J. McNab, N. Moll, and Y. A. Vlasov, “Ultra-low loss photonic integrated circuit with membrane-type photonic crystal waveguides,” Opt. Express11(22), 2927–2939 (2003).
[CrossRef] [PubMed]

K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

2000 (1)

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, “Full three-dimensional photonic bandgap crystals at near-infrared wavelengths,” Science289(5479), 604–606 (2000).
[CrossRef] [PubMed]

1999 (2)

A. Chutinan and S. Noda, “Highly confined waveguides and waveguide bends in three-dimensional photonic crystal,” Appl. Phys. Lett.75(24), 3739–3741 (1999).
[CrossRef]

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, “Two-dimensional photonic band-gap defect mode laser,” Science284(5421), 1819–1821 (1999).
[CrossRef] [PubMed]

1998 (1)

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

1987 (2)

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett.58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett.58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

Akahane, Y.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, “High-Q photonic nanocavity in a two-dimensional photonic crystal,” Nature425(6961), 944–947 (2003).
[CrossRef] [PubMed]

Y. Tanaka, T. Asano, Y. Akahane, B. S. Song, and S. Noda, “Theoretical investigation of a two-dimensional photonic crystal slab with truncated cone air holes,” Appl. Phys. Lett.82(11), 1661–1663 (2003).
[CrossRef]

Aoki, K.

K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

Aoyagi, Y.

K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

Arakawa, Y.

D. Cao, A. Tandaechanurat, S. Nakayama, S. Ishida, S. Iwamoto, and Y. Arakawa, “Silicon-based three-dimensional photonic crystal nanocavity laser with InAs quantum-dot gain,” Appl. Phys. Lett.101(19), 191107 (2012).
[CrossRef]

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, “Lasing oscillation in a three-dimensional photonic crystal nanocavity with a complete bandgap,” Nat. Photonics5(2), 91–94 (2011).
[CrossRef]

Asano, T.

Y. Tanaka, T. Asano, Y. Akahane, B. S. Song, and S. Noda, “Theoretical investigation of a two-dimensional photonic crystal slab with truncated cone air holes,” Appl. Phys. Lett.82(11), 1661–1663 (2003).
[CrossRef]

Y. Akahane, T. Asano, B. S. Song, and S. Noda, “High-Q photonic nanocavity in a two-dimensional photonic crystal,” Nature425(6961), 944–947 (2003).
[CrossRef] [PubMed]

Baba, T.

H. C. Nguyen, S. Hashimoto, M. Shinkawa, and T. Baba, “Compact and fast photonic crystal silicon optical modulators,” Opt. Express20(20), 22465–22474 (2012).
[CrossRef] [PubMed]

K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

Barsic, A.

Beggs, D. M.

Biswas, R.

D. Stieler, A. Barsic, R. Biswas, G. Tuttle, and K.-M. Ho, “A planar four-port channel drop filter in the three-dimensional woodpile photonic crystal,” Opt. Express17(8), 6128–6133 (2009).
[CrossRef] [PubMed]

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Botten, L. C.

Braun, P. V.

S. A. Rinne, F. García-Santamaría, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics2(1), 52–56 (2008).
[CrossRef]

Bur, J.

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Busch, K.

Cao, D.

D. Cao, A. Tandaechanurat, S. Nakayama, S. Ishida, S. Iwamoto, and Y. Arakawa, “Silicon-based three-dimensional photonic crystal nanocavity laser with InAs quantum-dot gain,” Appl. Phys. Lett.101(19), 191107 (2012).
[CrossRef]

Chen, C. H.

Cheng, B. Y.

R. J. Liu, Z. Y. Li, Z. F. Feng, B. Y. Cheng, and D. Z. Zhang, “Channel-drop filters in three-dimensional woodpile photonic crystals,” J. Appl. Phys.103(9), 094514 (2008).
[CrossRef]

Christensen, C.

C. Sell, C. Christensen, J. Muehlmeier, G. Tuttle, Z. Y. Li, and K. M. Ho, “Waveguide networks in three-dimensional layer-by-layer photonic crystals,” Appl. Phys. Lett.84(23), 4605–4607 (2004).
[CrossRef]

Chutinan, A.

A. Chutinan, S. John, and O. Toader, “Diffractionless flow of light in all-optical Microchips,” Phys. Rev. Lett.90(12), 123901 (2003).
[CrossRef] [PubMed]

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, “Full three-dimensional photonic bandgap crystals at near-infrared wavelengths,” Science289(5479), 604–606 (2000).
[CrossRef] [PubMed]

A. Chutinan and S. Noda, “Highly confined waveguides and waveguide bends in three-dimensional photonic crystal,” Appl. Phys. Lett.75(24), 3739–3741 (1999).
[CrossRef]

Corcoran, B.

Dapkus, P. D.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, “Two-dimensional photonic band-gap defect mode laser,” Science284(5421), 1819–1821 (1999).
[CrossRef] [PubMed]

Deubel, M.

Dossou, K. B.

Ebnali-Heidari, M.

Eggleton, B. J.

Essig, S.

Feng, Z. F.

R. J. Liu, Z. Y. Li, Z. F. Feng, B. Y. Cheng, and D. Z. Zhang, “Channel-drop filters in three-dimensional woodpile photonic crystals,” J. Appl. Phys.103(9), 094514 (2008).
[CrossRef]

Fleming, J. G.

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

García-Santamaría, F.

S. A. Rinne, F. García-Santamaría, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics2(1), 52–56 (2008).
[CrossRef]

Gondaira, K.

K. Ishizaki, M. Koumura, K. Suzuki, K. Gondaira, and S. Noda, “Realization of three-dimensional guiding of photons in photonic crystals,” Nat. Photon.7, 133–137 (2013) and their supplementary information.

Grillet, C.

Guimard, D.

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, “Lasing oscillation in a three-dimensional photonic crystal nanocavity with a complete bandgap,” Nat. Photonics5(2), 91–94 (2011).
[CrossRef]

Hashimoto, S.

Hetherington, D. L.

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Hirayama, H.

K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

Ho, K. M.

C. Sell, C. Christensen, J. Muehlmeier, G. Tuttle, Z. Y. Li, and K. M. Ho, “Waveguide networks in three-dimensional layer-by-layer photonic crystals,” Appl. Phys. Lett.84(23), 4605–4607 (2004).
[CrossRef]

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Ho, K.-M.

Hughes, S.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, “Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity,” Phys. Rev. Lett.94(3), 033903 (2005).
[CrossRef] [PubMed]

Hugonin, J. P.

Imada, M.

Inoshita, K.

K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

Ishida, S.

D. Cao, A. Tandaechanurat, S. Nakayama, S. Ishida, S. Iwamoto, and Y. Arakawa, “Silicon-based three-dimensional photonic crystal nanocavity laser with InAs quantum-dot gain,” Appl. Phys. Lett.101(19), 191107 (2012).
[CrossRef]

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, “Lasing oscillation in a three-dimensional photonic crystal nanocavity with a complete bandgap,” Nat. Photonics5(2), 91–94 (2011).
[CrossRef]

Ishizaki, K.

K. Ishizaki, M. Koumura, K. Suzuki, K. Gondaira, and S. Noda, “Realization of three-dimensional guiding of photons in photonic crystals,” Nat. Photon.7, 133–137 (2013) and their supplementary information.

Iwamoto, S.

D. Cao, A. Tandaechanurat, S. Nakayama, S. Ishida, S. Iwamoto, and Y. Arakawa, “Silicon-based three-dimensional photonic crystal nanocavity laser with InAs quantum-dot gain,” Appl. Phys. Lett.101(19), 191107 (2012).
[CrossRef]

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, “Lasing oscillation in a three-dimensional photonic crystal nanocavity with a complete bandgap,” Nat. Photonics5(2), 91–94 (2011).
[CrossRef]

Joannopoulos, J. D.

D. Roundy, E. Lidorikis, and J. D. Joannopoulos, “Polarization-selective waveguide bends in a photonic crystal structure with layered square symmetry,” J. Appl. Phys.96(12), 7750–7752 (2004).
[CrossRef]

E. Lidorikis, M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Polarization-Independent Linear Waveguides in 3D Photonic Crystals,” Phys. Rev. Lett.91(2), 023902 (2003).
[CrossRef] [PubMed]

John, S.

M. Deubel, M. Wegener, S. Linden, G. von Freymann, and S. John, “3D-2D-3D photonic crystal heterostructures fabricated by direct laser writing,” Opt. Lett.31(6), 805–807 (2006).
[CrossRef] [PubMed]

A. Chutinan, S. John, and O. Toader, “Diffractionless flow of light in all-optical Microchips,” Phys. Rev. Lett.90(12), 123901 (2003).
[CrossRef] [PubMed]

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E. Lidorikis, M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Polarization-Independent Linear Waveguides in 3D Photonic Crystals,” Phys. Rev. Lett.91(2), 023902 (2003).
[CrossRef] [PubMed]

Kako, S.

M. Okano, S. Kako, and S. Noda, “Coupling between a point-defect cavity and a line-defect waveguide in three-dimensional photonic crystal,” Phys. Rev. B68(23), 235110 (2003).
[CrossRef]

Kawaguchi, Y.

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

C. H. Chen, S. Matsuo, K. Nozaki, A. Shinya, T. Sato, Y. Kawaguchi, H. Sumikura, and M. Notomi, “All-optical memory based on injection-locking bistability in photonic crystal lasers,” Opt. Express19(4), 3387–3395 (2011).
[CrossRef] [PubMed]

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Kim, I.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, “Two-dimensional photonic band-gap defect mode laser,” Science284(5421), 1819–1821 (1999).
[CrossRef] [PubMed]

Koumura, M.

K. Ishizaki, M. Koumura, K. Suzuki, K. Gondaira, and S. Noda, “Realization of three-dimensional guiding of photons in photonic crystals,” Nat. Photon.7, 133–137 (2013) and their supplementary information.

Krauss, T. F.

Kuipers, L.

Kurtz, S. R.

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Lalanne, P.

Lee, L. H.

M. Imada, L. H. Lee, M. Okano, S. Kawashima, and S. Noda, “Development of three-dimensional photonic-crystal waveguides at optical-communication wavelengths,” Appl. Phys. Lett.88(17), 171107 (2006).
[CrossRef]

S. Kawashima, L. H. Lee, M. Okano, M. Imada, and S. Noda, “Design of donor-type line-defect waveguides in three-dimensional photonic crystals,” Opt. Express13(24), 9774–9781 (2005).
[CrossRef] [PubMed]

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O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, “Two-dimensional photonic band-gap defect mode laser,” Science284(5421), 1819–1821 (1999).
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R. J. Liu, Z. Y. Li, Z. F. Feng, B. Y. Cheng, and D. Z. Zhang, “Channel-drop filters in three-dimensional woodpile photonic crystals,” J. Appl. Phys.103(9), 094514 (2008).
[CrossRef]

C. Sell, C. Christensen, J. Muehlmeier, G. Tuttle, Z. Y. Li, and K. M. Ho, “Waveguide networks in three-dimensional layer-by-layer photonic crystals,” Appl. Phys. Lett.84(23), 4605–4607 (2004).
[CrossRef]

Lidorikis, E.

D. Roundy, E. Lidorikis, and J. D. Joannopoulos, “Polarization-selective waveguide bends in a photonic crystal structure with layered square symmetry,” J. Appl. Phys.96(12), 7750–7752 (2004).
[CrossRef]

E. Lidorikis, M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Polarization-Independent Linear Waveguides in 3D Photonic Crystals,” Phys. Rev. Lett.91(2), 023902 (2003).
[CrossRef] [PubMed]

Lin, S. Y.

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Linden, S.

Liu, R. J.

R. J. Liu, Z. Y. Li, Z. F. Feng, B. Y. Cheng, and D. Z. Zhang, “Channel-drop filters in three-dimensional woodpile photonic crystals,” J. Appl. Phys.103(9), 094514 (2008).
[CrossRef]

Martijn de Sterke, C.

Matsuo, S.

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

C. H. Chen, S. Matsuo, K. Nozaki, A. Shinya, T. Sato, Y. Kawaguchi, H. Sumikura, and M. Notomi, “All-optical memory based on injection-locking bistability in photonic crystal lasers,” Opt. Express19(4), 3387–3395 (2011).
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McNab, S. J.

McPhedran, R. C.

Melloni, A.

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K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

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Monat, C.

Morichetti, F.

Muehlmeier, J.

C. Sell, C. Christensen, J. Muehlmeier, G. Tuttle, Z. Y. Li, and K. M. Ho, “Waveguide networks in three-dimensional layer-by-layer photonic crystals,” Appl. Phys. Lett.84(23), 4605–4607 (2004).
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D. Cao, A. Tandaechanurat, S. Nakayama, S. Ishida, S. Iwamoto, and Y. Arakawa, “Silicon-based three-dimensional photonic crystal nanocavity laser with InAs quantum-dot gain,” Appl. Phys. Lett.101(19), 191107 (2012).
[CrossRef]

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Noda, S.

K. Ishizaki, M. Koumura, K. Suzuki, K. Gondaira, and S. Noda, “Realization of three-dimensional guiding of photons in photonic crystals,” Nat. Photon.7, 133–137 (2013) and their supplementary information.

S. Kawashima, M. Okano, M. Imada, and S. Noda, “Design of compound-defect waveguides in three-dimensional photonic crystals,” Opt. Express14(13), 6303–6307 (2006).
[CrossRef] [PubMed]

M. Imada, L. H. Lee, M. Okano, S. Kawashima, and S. Noda, “Development of three-dimensional photonic-crystal waveguides at optical-communication wavelengths,” Appl. Phys. Lett.88(17), 171107 (2006).
[CrossRef]

S. Kawashima, L. H. Lee, M. Okano, M. Imada, and S. Noda, “Design of donor-type line-defect waveguides in three-dimensional photonic crystals,” Opt. Express13(24), 9774–9781 (2005).
[CrossRef] [PubMed]

Y. Akahane, T. Asano, B. S. Song, and S. Noda, “High-Q photonic nanocavity in a two-dimensional photonic crystal,” Nature425(6961), 944–947 (2003).
[CrossRef] [PubMed]

M. Okano, S. Kako, and S. Noda, “Coupling between a point-defect cavity and a line-defect waveguide in three-dimensional photonic crystal,” Phys. Rev. B68(23), 235110 (2003).
[CrossRef]

Y. Tanaka, T. Asano, Y. Akahane, B. S. Song, and S. Noda, “Theoretical investigation of a two-dimensional photonic crystal slab with truncated cone air holes,” Appl. Phys. Lett.82(11), 1661–1663 (2003).
[CrossRef]

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, “Full three-dimensional photonic bandgap crystals at near-infrared wavelengths,” Science289(5479), 604–606 (2000).
[CrossRef] [PubMed]

A. Chutinan and S. Noda, “Highly confined waveguides and waveguide bends in three-dimensional photonic crystal,” Appl. Phys. Lett.75(24), 3739–3741 (1999).
[CrossRef]

Nomura, M.

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, “Lasing oscillation in a three-dimensional photonic crystal nanocavity with a complete bandgap,” Nat. Photonics5(2), 91–94 (2011).
[CrossRef]

Notomi, M.

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

C. H. Chen, S. Matsuo, K. Nozaki, A. Shinya, T. Sato, Y. Kawaguchi, H. Sumikura, and M. Notomi, “All-optical memory based on injection-locking bistability in photonic crystal lasers,” Opt. Express19(4), 3387–3395 (2011).
[CrossRef] [PubMed]

Nozaki, K.

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

C. H. Chen, S. Matsuo, K. Nozaki, A. Shinya, T. Sato, Y. Kawaguchi, H. Sumikura, and M. Notomi, “All-optical memory based on injection-locking bistability in photonic crystal lasers,” Opt. Express19(4), 3387–3395 (2011).
[CrossRef] [PubMed]

O’Brien, J. D.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, “Two-dimensional photonic band-gap defect mode laser,” Science284(5421), 1819–1821 (1999).
[CrossRef] [PubMed]

O’Faolain, L.

Okano, M.

S. Kawashima, M. Okano, M. Imada, and S. Noda, “Design of compound-defect waveguides in three-dimensional photonic crystals,” Opt. Express14(13), 6303–6307 (2006).
[CrossRef] [PubMed]

M. Imada, L. H. Lee, M. Okano, S. Kawashima, and S. Noda, “Development of three-dimensional photonic-crystal waveguides at optical-communication wavelengths,” Appl. Phys. Lett.88(17), 171107 (2006).
[CrossRef]

S. Kawashima, L. H. Lee, M. Okano, M. Imada, and S. Noda, “Design of donor-type line-defect waveguides in three-dimensional photonic crystals,” Opt. Express13(24), 9774–9781 (2005).
[CrossRef] [PubMed]

M. Okano, S. Kako, and S. Noda, “Coupling between a point-defect cavity and a line-defect waveguide in three-dimensional photonic crystal,” Phys. Rev. B68(23), 235110 (2003).
[CrossRef]

Painter, O.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, “Two-dimensional photonic band-gap defect mode laser,” Science284(5421), 1819–1821 (1999).
[CrossRef] [PubMed]

Povinelli, M. L.

E. Lidorikis, M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, “Polarization-Independent Linear Waveguides in 3D Photonic Crystals,” Phys. Rev. Lett.91(2), 023902 (2003).
[CrossRef] [PubMed]

Ramunno, L.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, “Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity,” Phys. Rev. Lett.94(3), 033903 (2005).
[CrossRef] [PubMed]

Rinne, S. A.

S. A. Rinne, F. García-Santamaría, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics2(1), 52–56 (2008).
[CrossRef]

Roundy, D.

D. Roundy, E. Lidorikis, and J. D. Joannopoulos, “Polarization-selective waveguide bends in a photonic crystal structure with layered square symmetry,” J. Appl. Phys.96(12), 7750–7752 (2004).
[CrossRef]

Sakoda, K.

K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

Sato, T.

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

C. H. Chen, S. Matsuo, K. Nozaki, A. Shinya, T. Sato, Y. Kawaguchi, H. Sumikura, and M. Notomi, “All-optical memory based on injection-locking bistability in photonic crystal lasers,” Opt. Express19(4), 3387–3395 (2011).
[CrossRef] [PubMed]

Scherer, A.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, “Two-dimensional photonic band-gap defect mode laser,” Science284(5421), 1819–1821 (1999).
[CrossRef] [PubMed]

Schulz, S. A.

Segawa, T.

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

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C. Sell, C. Christensen, J. Muehlmeier, G. Tuttle, Z. Y. Li, and K. M. Ho, “Waveguide networks in three-dimensional layer-by-layer photonic crystals,” Appl. Phys. Lett.84(23), 4605–4607 (2004).
[CrossRef]

Shinkawa, M.

Shinya, A.

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

C. H. Chen, S. Matsuo, K. Nozaki, A. Shinya, T. Sato, Y. Kawaguchi, H. Sumikura, and M. Notomi, “All-optical memory based on injection-locking bistability in photonic crystal lasers,” Opt. Express19(4), 3387–3395 (2011).
[CrossRef] [PubMed]

Shinya, N.

K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

Sigalas, M. M.

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Sipe, J. E.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, “Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity,” Phys. Rev. Lett.94(3), 033903 (2005).
[CrossRef] [PubMed]

Smith, B. K.

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Song, B. S.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, “High-Q photonic nanocavity in a two-dimensional photonic crystal,” Nature425(6961), 944–947 (2003).
[CrossRef] [PubMed]

Y. Tanaka, T. Asano, Y. Akahane, B. S. Song, and S. Noda, “Theoretical investigation of a two-dimensional photonic crystal slab with truncated cone air holes,” Appl. Phys. Lett.82(11), 1661–1663 (2003).
[CrossRef]

Spasenovic, M.

Staude, I.

Stieler, D.

Sumikura, H.

Suzaki, Y.

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

Suzuki, K.

K. Ishizaki, M. Koumura, K. Suzuki, K. Gondaira, and S. Noda, “Realization of three-dimensional guiding of photons in photonic crystals,” Nat. Photon.7, 133–137 (2013) and their supplementary information.

Takahashi, R.

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

Tanaka, Y.

Y. Tanaka, T. Asano, Y. Akahane, B. S. Song, and S. Noda, “Theoretical investigation of a two-dimensional photonic crystal slab with truncated cone air holes,” Appl. Phys. Lett.82(11), 1661–1663 (2003).
[CrossRef]

Tandaechanurat, A.

D. Cao, A. Tandaechanurat, S. Nakayama, S. Ishida, S. Iwamoto, and Y. Arakawa, “Silicon-based three-dimensional photonic crystal nanocavity laser with InAs quantum-dot gain,” Appl. Phys. Lett.101(19), 191107 (2012).
[CrossRef]

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, “Lasing oscillation in a three-dimensional photonic crystal nanocavity with a complete bandgap,” Nat. Photonics5(2), 91–94 (2011).
[CrossRef]

Toader, O.

A. Chutinan, S. John, and O. Toader, “Diffractionless flow of light in all-optical Microchips,” Phys. Rev. Lett.90(12), 123901 (2003).
[CrossRef] [PubMed]

Tomoda, K.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, “Full three-dimensional photonic bandgap crystals at near-infrared wavelengths,” Science289(5479), 604–606 (2000).
[CrossRef] [PubMed]

Tuttle, G.

D. Stieler, A. Barsic, R. Biswas, G. Tuttle, and K.-M. Ho, “A planar four-port channel drop filter in the three-dimensional woodpile photonic crystal,” Opt. Express17(8), 6128–6133 (2009).
[CrossRef] [PubMed]

C. Sell, C. Christensen, J. Muehlmeier, G. Tuttle, Z. Y. Li, and K. M. Ho, “Waveguide networks in three-dimensional layer-by-layer photonic crystals,” Appl. Phys. Lett.84(23), 4605–4607 (2004).
[CrossRef]

Vlasov, Y. A.

von Freymann, G.

Wegener, M.

White, T. P.

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E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett.58(20), 2059–2062 (1987).
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S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, “Full three-dimensional photonic bandgap crystals at near-infrared wavelengths,” Science289(5479), 604–606 (2000).
[CrossRef] [PubMed]

Yariv, A.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, and I. Kim, “Two-dimensional photonic band-gap defect mode laser,” Science284(5421), 1819–1821 (1999).
[CrossRef] [PubMed]

Young, J. F.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, “Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity,” Phys. Rev. Lett.94(3), 033903 (2005).
[CrossRef] [PubMed]

Zhang, D. Z.

R. J. Liu, Z. Y. Li, Z. F. Feng, B. Y. Cheng, and D. Z. Zhang, “Channel-drop filters in three-dimensional woodpile photonic crystals,” J. Appl. Phys.103(9), 094514 (2008).
[CrossRef]

Zubrzycki, W.

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Appl. Phys. Lett. (5)

A. Chutinan and S. Noda, “Highly confined waveguides and waveguide bends in three-dimensional photonic crystal,” Appl. Phys. Lett.75(24), 3739–3741 (1999).
[CrossRef]

Y. Tanaka, T. Asano, Y. Akahane, B. S. Song, and S. Noda, “Theoretical investigation of a two-dimensional photonic crystal slab with truncated cone air holes,” Appl. Phys. Lett.82(11), 1661–1663 (2003).
[CrossRef]

D. Cao, A. Tandaechanurat, S. Nakayama, S. Ishida, S. Iwamoto, and Y. Arakawa, “Silicon-based three-dimensional photonic crystal nanocavity laser with InAs quantum-dot gain,” Appl. Phys. Lett.101(19), 191107 (2012).
[CrossRef]

C. Sell, C. Christensen, J. Muehlmeier, G. Tuttle, Z. Y. Li, and K. M. Ho, “Waveguide networks in three-dimensional layer-by-layer photonic crystals,” Appl. Phys. Lett.84(23), 4605–4607 (2004).
[CrossRef]

M. Imada, L. H. Lee, M. Okano, S. Kawashima, and S. Noda, “Development of three-dimensional photonic-crystal waveguides at optical-communication wavelengths,” Appl. Phys. Lett.88(17), 171107 (2006).
[CrossRef]

J. Appl. Phys. (2)

D. Roundy, E. Lidorikis, and J. D. Joannopoulos, “Polarization-selective waveguide bends in a photonic crystal structure with layered square symmetry,” J. Appl. Phys.96(12), 7750–7752 (2004).
[CrossRef]

R. J. Liu, Z. Y. Li, Z. F. Feng, B. Y. Cheng, and D. Z. Zhang, “Channel-drop filters in three-dimensional woodpile photonic crystals,” J. Appl. Phys.103(9), 094514 (2008).
[CrossRef]

Nat. Mater. (1)

K. Aoki, H. T. Miyazaki, H. Hirayama, K. Inoshita, T. Baba, K. Sakoda, N. Shinya, and Y. Aoyagi, “Microassembly of semiconductor three-dimensional photonic crystals,” Nat. Mater.2(2), 117–121 (2003).
[CrossRef] [PubMed]

Nat. Photon. (1)

K. Ishizaki, M. Koumura, K. Suzuki, K. Gondaira, and S. Noda, “Realization of three-dimensional guiding of photons in photonic crystals,” Nat. Photon.7, 133–137 (2013) and their supplementary information.

Nat. Photonics (3)

S. A. Rinne, F. García-Santamaría, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics2(1), 52–56 (2008).
[CrossRef]

A. Tandaechanurat, S. Ishida, D. Guimard, M. Nomura, S. Iwamoto, and Y. Arakawa, “Lasing oscillation in a three-dimensional photonic crystal nanocavity with a complete bandgap,” Nat. Photonics5(2), 91–94 (2011).
[CrossRef]

K. Nozaki, A. Shinya, S. Matsuo, Y. Suzaki, T. Segawa, T. Sato, Y. Kawaguchi, R. Takahashi, and M. Notomi, “Ultralow-power all-optical RAM based on nanocavities,” Nat. Photonics6(4), 248–252 (2012).
[CrossRef]

Nature (2)

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelengths,” Nature394(6690), 251–253 (1998).
[CrossRef]

Y. Akahane, T. Asano, B. S. Song, and S. Noda, “High-Q photonic nanocavity in a two-dimensional photonic crystal,” Nature425(6961), 944–947 (2003).
[CrossRef] [PubMed]

Opt. Express (9)

S. J. McNab, N. Moll, and Y. A. Vlasov, “Ultra-low loss photonic integrated circuit with membrane-type photonic crystal waveguides,” Opt. Express11(22), 2927–2939 (2003).
[CrossRef] [PubMed]

S. Kawashima, L. H. Lee, M. Okano, M. Imada, and S. Noda, “Design of donor-type line-defect waveguides in three-dimensional photonic crystals,” Opt. Express13(24), 9774–9781 (2005).
[CrossRef] [PubMed]

C. Monat, B. Corcoran, M. Ebnali-Heidari, C. Grillet, B. J. Eggleton, T. P. White, L. O’Faolain, and T. F. Krauss, “Slow light enhancement of nonlinear effects in silicon engineered photonic crystal waveguides,” Opt. Express17(4), 2944–2953 (2009).
[CrossRef] [PubMed]

D. Stieler, A. Barsic, R. Biswas, G. Tuttle, and K.-M. Ho, “A planar four-port channel drop filter in the three-dimensional woodpile photonic crystal,” Opt. Express17(8), 6128–6133 (2009).
[CrossRef] [PubMed]

C. Martijn de Sterke, K. B. Dossou, T. P. White, L. C. Botten, and R. C. McPhedran, “Efficient coupling into slow light photonic crystal waveguide without transition region: role of evanescent modes,” Opt. Express17(20), 17338–17343 (2009).
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